Geodesic
Positive solutions of boundary value problems with $p$-Laplacian
Electronic Journal of Differential Equations, Tome 2010 (2010).

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: In this article, we study a class of boundary value problems with p-Laplacian. By using a Green-like functional and applying the fixed point index theory, we obtain eigenvalue criteria for the existence of positive solutions. Several explicit conditions are derived as consequences, and further results are established for the multiplicity and nonexistence of positive solutions. Extensions are also given to partial differential BVPs with p-Laplacian defined on annular domains.
Classification : 34B15, 34B18
Keywords: boundary value problem with p-Laplacian, positive solution, existence and nonexistence, eigenvalue criteria, fixed point, index theory 
@article{EJDE_2010__2010__a181,
     author = {Kong, Qingkai and Wang, Min},
     title = {Positive solutions of boundary value problems with $p${-Laplacian}},
     journal = {Electronic Journal of Differential Equations},
     publisher = {mathdoc},
     volume = {2010},
     year = {2010},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2010__2010__a181/}
}
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Kong, Qingkai; Wang, Min. Positive solutions of boundary value problems with $p$-Laplacian. Electronic Journal of Differential Equations, Tome 2010 (2010). http://geodesic.mathdoc.fr/item/EJDE_2010__2010__a181/